Group Theory: Free Abelian Groups

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Related lectures (31)

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Free Abelian Groups: Group Theory

Explores the concept of free abelian groups as an important left adjoint functor.

Group Actions: Equivariance and Functors

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

Functors and Homomorphisms in Group Theory

Explores functors F_{Ab} and Hom (-,-) in group theory, including presentations and homomorphisms.

Sylow Subgroups: Structure and Properties

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

Categorical Perspective: Abelian Groups

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

Exact Sequences: Torsion and Divisibility

Explores exact sequences of abelian group homomorphisms and provides examples.

Groups: Definitions, Properties, and Homomorphisms

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Adjoints of Restriction Functor

Covers the adjoints of the restriction functor in group theory.

Group Theory: Verification

Covers the verification of constructions in the context of abelian groups and Sylow subgroups.

Endomorphisms and automorphisms of totally disconnected locally compact groups V

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing surjective homomorphisms and free abelian groups.